2.3.173 Problems 17201 to 17300

Table 2.877: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
17201	1308	\begin{align*} y^{\prime \prime }-6 y^{\prime }+9 y&=0 \\ \end{align*}	✓	✓	✓	✓	4.542
17202	3516	\begin{align*} {\mathrm e}^{x +y} y^{\prime }-1&=0 \\ \end{align*}	✓	✓	✓	✓	4.542
17203	17362	\begin{align*} t^{2} y^{\prime \prime }+y^{\prime } t -y&=0 \\ \end{align*}	✓	✓	✓	✓	4.542
17204	18153	\begin{align*} 4 y^{\prime \prime }-3 y^{\prime }&=x \,{\mathrm e}^{\frac {3 x}{4}} \\ \end{align*}	✓	✓	✓	✓	4.542
17205	18563	\begin{align*} y^{\prime }&=t \left (3-y\right ) y \\ \end{align*}	✓	✓	✓	✓	4.542
17206	2957	\begin{align*} y^{\prime } x +2 y&=x^{2} \\ \end{align*}	✓	✓	✓	✓	4.543
17207	21483	\begin{align*} y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	4.544
17208	2853	\begin{align*} \sin \left (x \right ) \cos \left (y\right )^{2}+\cos \left (x \right )^{2} y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	4.546
17209	7507	\begin{align*} y^{\prime }&=\left (x -y+5\right )^{2} \\ \end{align*}	✓	✓	✓	✓	4.546
17210	11611	\begin{align*} \left (2 x y^{3}+y x +x^{2}\right ) y^{\prime }-y x +y^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	4.546
17211	21487	\begin{align*} y^{\prime \prime }-2 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	4.546
17212	4828	\begin{align*} y^{\prime } x&=y \ln \left (y\right ) \\ \end{align*}	✓	✓	✓	✓	4.548
17213	14020	\begin{align*} x \left (1-y\right ) y^{\prime }+\left (1-x \right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	4.548
17214	3562	\begin{align*} 5 y+2 y^{\prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.549
17215	14563	\begin{align*} y^{\prime \prime }-5 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	4.549
17216	11434	\begin{align*} x^{2} y^{\prime }-\left (x -1\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	4.551
17217	5104	\begin{align*} \left (5+3 x -4 y\right ) y^{\prime }&=2+7 x -3 y \\ \end{align*}	✓	✓	✓	✓	4.554
17218	12393	\begin{align*} y^{\prime \prime } x +\left (2 a x \ln \left (x \right )+1\right ) y^{\prime }+\left (a^{2} x \ln \left (x \right )^{2}+a \ln \left (x \right )+a \right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	4.554
17219	17334	\begin{align*} y+y^{\prime }&=\frac {{\mathrm e}^{t}}{y^{2}} \\ \end{align*}	✓	✓	✓	✓	4.554
17220	13346	\begin{align*} y^{\prime }&=a \ln \left (x \right )^{n} y^{2}+b m \,x^{m -1}-a \,b^{2} x^{2 m} \ln \left (x \right )^{n} \\ \end{align*}	✓	✗	✗	✗	4.555
17221	14923	\begin{align*} y^{\prime \prime }+2 y^{\prime }+10 y&=0 \\ y \left (0\right ) &= 3 \\ y^{\prime }\left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	4.556
17222	15384	\begin{align*} \frac {x}{\left (x +y\right )^{2}}+\frac {\left (2 x +y\right ) y^{\prime }}{\left (x +y\right )^{2}}&=0 \\ \end{align*}	✓	✓	✓	✗	4.556
17223	3781	\begin{align*} t^{2} y^{\prime \prime }+y^{\prime } t +25 y&=0 \\ y \left (1\right ) &= \frac {3 \sqrt {3}}{2} \\ y^{\prime }\left (1\right ) &= {\frac {15}{2}} \\ \end{align*}	✓	✓	✓	✓	4.559
17224	19353	\begin{align*} \left ({\mathrm e}^{y}-2 y x \right ) y^{\prime }&=y^{2} \\ \end{align*}	✓	✓	✓	✓	4.559
17225	24192	\begin{align*} w^{3}+w z^{2}-z+\left (z^{3}+w^{2} z-w \right ) z^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	4.559
17226	5129	\begin{align*} y y^{\prime } x +2 x^{2}-2 y x -y^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	4.560
17227	18285	\begin{align*} y^{\prime \prime }+4 y^{\prime }+3 y&=8 \,{\mathrm e}^{x}+9 \\ y \left (-\infty \right ) &= 3 \\ \end{align*}	✗	✓	✗	✓	4.560
17228	2990	\begin{align*} y^{\prime }-y x&=\frac {x}{y} \\ \end{align*}	✓	✓	✓	✓	4.562
17229	11481	\begin{align*} x \left (x^{3}-1\right ) y^{\prime }-2 x y^{2}+y+x^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	4.562
17230	2836	\begin{align*} y^{\prime \prime }-\lambda y&=0 \\ y^{\prime }\left (0\right ) &= 0 \\ y^{\prime }\left (L \right ) &= 0 \\ \end{align*}	✓	✓	✓	✓	4.563
17231	5234	\begin{align*} \left (a +b +x +y\right )^{2} y^{\prime }&=2 \left (a +y\right )^{2} \\ \end{align*}	✓	✓	✓	✗	4.563
17232	13755	\begin{align*} y^{\prime \prime } x +\left (a \,x^{n}+b \right ) y^{\prime }+x^{n -1} a n y&=0 \\ \end{align*}	✓	✓	✓	✗	4.563
17233	19914	\begin{align*} {\mathrm e}^{x} x^{4}-2 m x y^{2}+2 m \,x^{2} y y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.563
17234	1303	\begin{align*} y-2 y^{\prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.564
17235	13993	\begin{align*} y y^{\prime }+x y^{2}&=x \\ \end{align*}	✓	✓	✓	✓	4.565
17236	16295	\begin{align*} y^{\prime }+3 \cot \left (x \right ) y&=6 \cos \left (x \right ) y^{{2}/{3}} \\ \end{align*}	✓	✓	✓	✓	4.565
17237	18074	\begin{align*} x +y+1+\left (2 x +2 y-1\right ) y^{\prime }&=0 \\ y \left (1\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	4.565
17238	20226	\begin{align*} x \cos \left (y\right )^{2}&=y \cos \left (x \right )^{2} y^{\prime } \\ \end{align*}	✓	✓	✓	✓	4.566
17239	24112	\begin{align*} 4 x^{2} y^{\prime \prime }+8 y^{\prime } x +\left (2 x -3\right ) y&=0 \\ \end{align*} Series expansion around \(x=0\).	✓	✓	✓	✓	4.566
17240	5983	\begin{align*} -\left (i x^{2}+p^{2}\right ) y+y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.568
17241	11762	\begin{align*} 4 y {y^{\prime }}^{2}+2 y^{\prime } x -y&=0 \\ \end{align*}	✓	✓	✓	✓	4.568
17242	7044	\begin{align*} y^{\prime \prime }+2 y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	4.569
17243	7421	\begin{align*} 3 t&={\mathrm e}^{t} y^{\prime }+y \ln \left (t \right ) \\ \end{align*}	✓	✓	✓	✓	4.569
17244	16489	\begin{align*} y^{\prime \prime }+2 y^{\prime }-24 y&=0 \\ \end{align*}	✓	✓	✓	✓	4.569
17245	4303	\begin{align*} \sqrt {x^{2}+1}\, y^{\prime }+\sqrt {1+y^{2}}&=0 \\ \end{align*}	✓	✓	✓	✓	4.572
17246	4336	\begin{align*} y+x \left (y^{2}+\ln \left (x \right )\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.572
17247	19815	\begin{align*} 3 x^{2} y^{\prime }+2 x^{2}-3 y^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	4.574
17248	23334	\begin{align*} 8 y^{\prime \prime }-6 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	4.574
17249	8719	\begin{align*} y^{\prime }+\frac {x +2 y}{x}&=0 \\ \end{align*}	✓	✓	✓	✓	4.575
17250	19801	\begin{align*} y^{\prime }-\tan \left (x \right ) y&=y^{4} \sec \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	4.575
17251	898	\begin{align*} y^{\prime \prime }+9 y&=2 \sec \left (3 x \right ) \\ \end{align*}	✓	✓	✓	✓	4.576
17252	3971	\begin{align*} -y+y^{\prime }&=\left \{\begin {array}{cc} 2 & 0\le t <1 \\ -1 & 1\le t \end {array}\right . \\ y \left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✗	4.577
17253	5890	\begin{align*} -y+y^{\prime }+y^{\prime \prime } x&=0 \\ \end{align*}	✓	✓	✓	✓	4.577
17254	11882	\begin{align*} y^{\prime }&=\frac {-x +F \left (x^{2}+y^{2}\right )}{y} \\ \end{align*}	✓	✓	✓	✗	4.577
17255	14829	\begin{align*} t x^{\prime \prime }-2 x^{\prime }+9 t^{5} x&=0 \\ \end{align*}	✓	✓	✓	✓	4.577
17256	8034	\begin{align*} \left (x +1\right ) y^{\prime \prime }-\left (2 x +3\right ) y^{\prime }+\left (2+x \right ) y&=\left (x^{2}+2 x +1\right ) {\mathrm e}^{2 x} \\ \end{align*}	✓	✓	✓	✗	4.579
17257	21172	\begin{align*} t^{2} x^{\prime \prime }+t x^{\prime }+x&=t \\ \end{align*}	✓	✓	✓	✓	4.579
17258	25541	\begin{align*} y^{\prime \prime }-2 y^{\prime }+10 y&=0 \\ \end{align*}	✓	✓	✓	✓	4.579
17259	12364	\begin{align*} y^{\prime \prime } x -y^{\prime }-y a \,x^{3}&=0 \\ \end{align*}	✓	✓	✓	✓	4.581
17260	12356	\begin{align*} a^{2} y^{\prime \prime }+a \left (a^{2}-2 b \,{\mathrm e}^{-a x}\right ) y^{\prime }+b^{2} {\mathrm e}^{-2 a x} y&=0 \\ \end{align*}	✓	✓	✓	✗	4.582
17261	22405	\begin{align*} 2+3 x y^{2}-4 x^{2} y y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.583
17262	5324	\begin{align*} \left (x +2 y+2 x^{2} y^{3}+y^{4} x \right ) y^{\prime }+\left (1+y^{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	4.585
17263	7918	\begin{align*} y^{\prime }-y&=y x \\ \end{align*}	✓	✓	✓	✓	4.586
17264	19257	\begin{align*} 1+y^{2}+\left (x^{2}+1\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.586
17265	12874	\begin{align*} y^{\prime \prime }+a y^{\prime } {| y^{\prime }|}+b \sin \left (y\right )&=0 \\ \end{align*}	✗	✗	✗	✗	4.589
17266	13305	\begin{align*} y^{\prime }&=-\lambda \,{\mathrm e}^{\lambda x} y^{2}+a \,x^{n} {\mathrm e}^{\lambda x} y-a \,x^{n} \\ \end{align*}	✓	✓	✓	✗	4.589
17267	7585	\begin{align*} y^{\prime \prime }-y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	4.590
17268	21495	\begin{align*} y^{\prime \prime }-2 y^{\prime }+10 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	4.590
17269	18809	\begin{align*} 4 x^{2} y^{\prime \prime }+8 y^{\prime } x +17 y&=0 \\ y \left (1\right ) &= 2 \\ y^{\prime }\left (1\right ) &= -3 \\ \end{align*}	✓	✓	✓	✓	4.591
17270	715	\begin{align*} y^{\prime } x +3 y&=2 x^{5} \\ y \left (2\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	4.592
17271	10131	\begin{align*} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{4}-x^{3}&=0 \\ \end{align*}	✗	✗	✗	✗	4.593
17272	19149	\begin{align*} y y^{\prime \prime }-{y^{\prime }}^{2}&=0 \\ \end{align*}	✓	✓	✓	✗	4.593
17273	24286	\begin{align*} x^{\prime }&=\cos \left (x\right ) \cos \left (t \right )^{2} \\ \end{align*}	✓	✓	✓	✗	4.593
17274	7023	\begin{align*} \left (x^{2}-1\right ) y^{\prime }+y x -3 x y^{2}&=0 \\ \end{align*}	✓	✓	✓	✓	4.595
17275	16252	\begin{align*} y^{\prime } x&=y^{2}-y \\ y \left (2\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	4.596
17276	17251	\begin{align*} -\frac {y}{2}+y^{\prime }&=\frac {t}{y} \\ \end{align*}	✓	✓	✓	✓	4.596
17277	14328	\begin{align*} t^{2} x^{\prime \prime }-t x^{\prime }+2 x&=0 \\ x \left (1\right ) &= 0 \\ x^{\prime }\left (1\right ) &= 1 \\ \end{align*}	✓	✓	✓	✓	4.597
17278	23852	\begin{align*} y x +{\mathrm e}^{x} y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.598
17279	19083	\begin{align*} y^{\prime } x +y&=x y^{2} \ln \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	4.599
17280	787	\begin{align*} {\mathrm e}^{x}+y \,{\mathrm e}^{y x}+\left ({\mathrm e}^{y}+x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	4.600
17281	3626	\begin{align*} x^{\prime }+\frac {2 x}{4-t}&=5 \\ x \left (0\right ) &= 4 \\ \end{align*}	✓	✓	✓	✓	4.600
17282	5891	\begin{align*} -\left (x +1\right ) y+y^{\prime }+y^{\prime \prime } x&=0 \\ \end{align*}	✓	✓	✓	✗	4.600
17283	8319	\begin{align*} y^{\prime }&=1-\frac {y}{x} \\ y \left (-\frac {1}{2}\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	4.601
17284	14283	\begin{align*} x^{\prime \prime }-4 x^{\prime }+4 x&=0 \\ x \left (0\right ) &= -1 \\ x^{\prime }\left (0\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	4.601
17285	6011	\begin{align*} x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=0 \\ \end{align*}	✓	✓	✓	✓	4.602
17286	20435	\begin{align*} a^{2} y {y^{\prime }}^{2}-4 y^{\prime } x +y&=0 \\ \end{align*}	✓	✓	✓	✓	4.602
17287	22096	\begin{align*} 5 y+4 y^{\prime }+y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.602
17288	24293	\begin{align*} y-\sin \left (x \right )^{2}+\sin \left (x \right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✗	4.602
17289	3527	\begin{align*} y^{\prime }&=1-\frac {\sin \left (x +y\right )}{\cos \left (x \right ) \sin \left (y\right )} \\ y \left (\frac {\pi }{4}\right ) &= \frac {\pi }{4} \\ \end{align*}	✓	✓	✓	✓	4.603
17290	4777	\begin{align*} y^{\prime } x&=a \,x^{2 n}+\left (n +b y\right ) y \\ \end{align*}	✓	✓	✓	✗	4.604
17291	7939	\begin{align*} x y^{3}-y^{3}-{\mathrm e}^{x} x^{2}+3 y^{\prime } y^{2} x&=0 \\ \end{align*}	✓	✓	✓	✓	4.605
17292	8282	\begin{align*} \left (-y x +1\right ) y^{\prime }&=y^{2} \\ \end{align*}	✓	✓	✓	✓	4.605
17293	12240	\begin{align*} y^{\prime }&=\frac {-y \sin \left (\frac {y}{x}\right )+y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )+y \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )+2 \sin \left (\frac {y}{x}\right ) x^{2} \sin \left (\frac {y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )}{2 \cos \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x} \\ \end{align*}	✓	✓	✓	✗	4.607
17294	3594	\begin{align*} {\mathrm e}^{x +y} y^{\prime }-1&=0 \\ \end{align*}	✓	✓	✓	✓	4.609
17295	5921	\begin{align*} y^{\prime \prime } x -\left (2 x +1\right ) y^{\prime }+\left (x +1\right ) y&=x^{2}-x -1 \\ \end{align*}	✓	✓	✓	✗	4.609
17296	17266	\begin{align*} \sqrt {t^{2}+1}+y y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	4.609
17297	19527	\begin{align*} x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=x \,{\mathrm e}^{-x} \\ \end{align*}	✓	✓	✓	✓	4.609
17298	23946	\begin{align*} y^{5} x^{2}+{\mathrm e}^{x^{3}} y^{\prime }&=0 \\ y \left (0\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	4.609
17299	5476	\begin{align*} x {y^{\prime }}^{2}+a y y^{\prime }+b x&=0 \\ \end{align*}	✓	✓	✓	✓	4.612
17300	5723	\begin{align*} y^{\prime \prime }+y&=4 x \sin \left (x \right ) \\ \end{align*}	✓	✓	✓	✓	4.612